Finite Group Databasebeta

← Group #276588

Character table — Group #276588

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222222244444488888888888888888888888881616161616161616161616163232
order12222222444444444444444444224444444888888888888888822448888888844
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ311111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111-1-1-1-1-1-11-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1
χ611111111111111111111111111-1-1-1-1-1-11-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ711111111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111
χ811111111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ9111111111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-11-1
χ10111111111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111-11
χ11111111111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111-1-111-11
χ12111111111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-11-1
χ13111111111-1-1-1-1111111111-1-1-1-1-1-1-1-111-1111111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-11
χ14111111111-1-1-1-1111111111-1-1-1-1-1-1-1-111-1111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1111-1
χ15111111111-1-1-1-1111111111-1-1-1-1-1-1-1-111-111-1-1-1-111111111-1-1-1-111-1-111-1-1-1-1111-1
χ16111111111-1-1-1-1111111111-1-1-1-1-1-1-1-111-111-1-1-1-11111-1-1-1-11111-1-11111-1-111-1-1-11
χ17222222222222222-2-2-2-22-2-222-2-222-2-2-2-2-222000000000000000000000000000000
χ18222222222222222-2-2-2-22-2-222-2-2-2-22222-2-2-2000000000000000000000000000000
χ19222222222-2-2-2-222-2-2-2-22-2-2-2-22222-2-2222-2-2000000000000000000000000000000
χ20222222222-2-2-2-222-2-2-2-22-2-2-2-222-2-222-2-2222000000000000000000000000000000
χ2122222222-22222-2-22222-2-2-2-2-222000000-20022-2-222-2-20000000000000000000000
χ2222222222-22222-2-22222-2-2-2-2-222000000-200-2-222-2-2220000000000000000000000
χ2322222222-22222-2-2-2-2-2-2-222-2-2-2-2000000200000000000000000000002i−2i2i−2i000000
χ2422222222-22222-2-2-2-2-2-2-222-2-2-2-200000020000000000000000000000−2i2i−2i2i000000
χ2522222222-2-2-2-2-2-2-22222-2-2-222-2-200000020022-2-2-2-2220000000000000000000000
χ2622222222-2-2-2-2-2-2-22222-2-2-222-2-2000000200-2-22222-2-20000000000000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-2222222000000-200000000000000000000002i−2i−2i2i000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-2222222000000-20000000000000000000000−2i2i2i−2i000000
χ29222-22-2-2-2-200002-222-2-222-2000000002i−2i02i−2i00000000000022-2-2002i−2i0000000000
χ30222-22-2-2-2-200002-222-2-222-2000000002i−2i02i−2i000000000000-2-22200−2i2i0000000000
χ31222-22-2-2-2-200002-222-2-222-200000000−2i2i0−2i2i00000000000022-2-200−2i2i0000000000
χ32222-22-2-2-2-200002-222-2-222-200000000−2i2i0−2i2i000000000000-2-222002i−2i0000000000
χ33222-22-2-2-2-200002-2-2-2222-22000000002i−2i0−2i2i000000002i2i−2i−2i00002-2000000000000
χ34222-22-2-2-2-200002-2-2-2222-22000000002i−2i0−2i2i00000000−2i−2i2i2i0000-22000000000000
χ35222-22-2-2-2-200002-2-2-2222-2200000000−2i2i02i−2i000000002i2i−2i−2i0000-22000000000000
χ36222-22-2-2-2-200002-2-2-2222-2200000000−2i2i02i−2i00000000−2i−2i2i2i00002-2000000000000
χ372-2-222-22-202i2i−2i−2i002-22-2000002i−2i000000000002i−2i002-2i2−i2i2−i22−22−2000000002−2i2−i200
χ382-2-222-22-202i2i−2i−2i002-22-2000002i−2i000000000002i−2i002-2−i2i2−i2i2−22−2200000000−22−i2i200
χ392-2-222-22-202i2i−2i−2i002-22-2000002i−2i00000000000−2i2i00-22i2−i2i2−i22−22−200000000−22−i2i200
χ402-2-222-22-202i2i−2i−2i002-22-2000002i−2i00000000000−2i2i00-22−i2i2−i2i2−22−22000000002−2i2−i200
χ412-2-222-22-20−2i−2i2i2i002-22-200000−2i2i000000000002i−2i00-22i2−i2i2−i2−22−22000000002−2−i2i200
χ422-2-222-22-20−2i−2i2i2i002-22-200000−2i2i000000000002i−2i00-22−i2i2−i2i22−22−200000000−22i2−i200
χ432-2-222-22-20−2i−2i2i2i002-22-200000−2i2i00000000000−2i2i002-2i2−i2i2−i2−22−2200000000−22i2−i200
χ442-2-222-22-20−2i−2i2i2i002-22-200000−2i2i00000000000−2i2i002-2−i2i2−i2i22−22−2000000002−2−i2i200
χ45444-44-4-4-440000-4444-4-4-4-440000000000000000000000000000000000000000000
χ46444-44-4-4-440000-44-4-444-44-40000000000000000000000000000000000000000000
χ4744-44-4-4-44400004-40000-4000000004i−4i00000000000000000000000000000000000
χ4844-44-4-4-44400004-40000-400000000−4i4i00000000000000000000000000000000000
χ4944-44-4-4-44-40000-44000040000004-40000000000000000000000000000000000000
χ5044-44-4-4-44-40000-4400004000000-440000000000000000000000000000000000000
χ5144-4-4-444-444i−4i4i−4i-4-400004004i−4i00000000000000000000000000000000000000000
χ5244-4-4-444-44−4i4i−4i4i-4-40000400−4i4i00000000000000000000000000000000000000000
χ5344-4-4-444-4-44i−4i4i−4i440000-400−4i4i00000000000000000000000000000000000000000
χ5444-4-4-444-4-4−4i4i−4i4i440000-4004i−4i00000000000000000000000000000000000000000
χ554-44-4-4-44404-4-44000000000000000000000022−220022−22000000000000000000000000
χ564-44-4-4-44404-4-440000000000000000000000−222200−2222000000000000000000000000
χ574-44-4-4-4440-444-4000000000000000000000022−2200−2222000000000000000000000000
χ584-44-4-4-4440-444-40000000000000000000000−22220022−22000000000000000000000000
χ594-4-444-44-404i4i−4i−4i00-44-4400000−4i4i000000000000000000000000000000000000000
χ604-4-444-44-40−4i−4i4i4i00-44-44000004i−4i000000000000000000000000000000000000000
χ614-4-4-444-4400000004-4-44000000000000000000000000000022−22−222200000000000000
χ624-4-4-444-4400000004-4-440000000000000000000000000000−222222−2200000000000000
χ634-4-4-444-440000000-444-400000000000000000000000022−22−2222000000000000000000
χ644-4-4-444-440000000-444-4000000000000000000000000−222222−22000000000000000000
χ658-888-88-8-8000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).